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Finding the Fourth Proportional to 20,335.46, 30,504.40 and 7,857.41

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Solution

The fourth proportional to 20,335.46, 30,504.40 and 7,857.41 is: 11,786.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,335.46 : 30,504.40 = 7,857.41 : x
  2. Step 2: Convert to fraction form
    20,335.46/30,504.40 = 7,857.41/x
  3. Step 3: Cross multiply
    20,335.46x = 30,504.40 × 7,857.41
  4. Step 4: Simplify right side
    20,335.46x = 239,685,405.44
  5. Step 5: Solve for x
    x = 239,685,405.44/20,335.46
  6. Step 6: Final answer
    x = 11,786.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.